{ "cells": [ { "cell_type": "markdown", "id": "4f39c0d5-edff-4cb0-8dc7-6fea2f8230f3", "metadata": {}, "source": [ "# Fuzzy order-sorted feature (OSF) logic\n", "\n", "## Fuzzy sort taxonomies\n", "\n", "Sorts denote fuzzy sets. A fuzzy sort taxonomy is a fuzzy lattice (or a fuzzy partial order)." ] }, { "cell_type": "code", "execution_count": 1, "id": "e07efd3d-437b-41b0-9a52-ffa69beaa58c", "metadata": {}, "outputs": [], "source": [ "from fosf.parsers import parse_taxonomy\n", "from fosf.syntax import Sort\n", "from fosf.utils.draw import notebook_display as display" ] }, { "cell_type": "code", "execution_count": 2, "id": "7db77615-ec3d-45e8-80fb-b9e09f9c307a", "metadata": {}, "outputs": [], "source": [ "fuzzy_taxonomy_str = \"\"\"\n", "bot < director, writer, producer, string, slasher.\n", "director, writer, producer < person.\n", "slasher < horror, thriller (0.5).\n", "thriller, horror < movie.\n", "person, string, movie < top.\n", "\"\"\"\n", "fuzzy_tax = parse_taxonomy(fuzzy_taxonomy_str)" ] }, { "cell_type": "markdown", "id": "5bb163d3-e3de-476d-adb3-1113821d7e9c", "metadata": {}, "source": [ "`bot` (⊥) denotes the empty set, and `top` (⊤) denotes the whole domain/universe." ] }, { "cell_type": "code", "execution_count": 3, "id": "af49a58b-5b5d-4754-9272-3fe8b03e3bd5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "fosf.syntax.taxonomy.FuzzySortTaxonomy" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(fuzzy_tax)" ] }, { "cell_type": "code", "execution_count": 4, "id": "f503a9b9-cc13-4ffb-b210-a19ba540316a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(fuzzy_tax)" ] }, { "cell_type": "markdown", "id": "fb518715-b784-4883-8d2e-b1382e7cf2b6", "metadata": {}, "source": [ "Greatest lower bound (GLB, or meet) computation, representing set intersection." ] }, { "cell_type": "code", "execution_count": 5, "id": "4ad23bff-b86e-4b2e-942a-94ce17f6b163", "metadata": {}, "outputs": [], "source": [ "movie = Sort(\"movie\")\n", "thriller = Sort(\"thriller\")\n", "horror = Sort(\"horror\")\n", "slasher = Sort(\"slasher\")\n", "\n", "person = Sort(\"person\")\n", "producer = Sort(\"producer\")\n", "writer = Sort(\"writer\")\n", "string = Sort(\"string\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "ebc5d840-f46d-461b-8821-8c7edf5d6163", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Sort('slasher')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.glb(thriller, horror)" ] }, { "cell_type": "code", "execution_count": 7, "id": "82a84baf-9336-4d0d-ae53-479487b5fe69", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Sort('producer')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.glb(person, producer)" ] }, { "cell_type": "code", "execution_count": 8, "id": "ab6c5fcb-6dd6-49fe-9017-5e4600a1d1d4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Sort('bot')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.glb(string, movie) # the intersection of 'string' and 'movie' is empty" ] }, { "cell_type": "markdown", "id": "b95650f8-ed25-4b9c-8b9d-05662dafe557", "metadata": {}, "source": [ "Checking (fuzzy) subsumption:" ] }, { "cell_type": "code", "execution_count": 9, "id": "9e0d14e6-ccb3-4b02-add4-92301d26b3e4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.is_subsort(slasher, movie)" ] }, { "cell_type": "code", "execution_count": 10, "id": "3bc6e801-107c-4a4d-aeb7-51ec787ae272", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.is_subsort(writer, movie)" ] }, { "cell_type": "code", "execution_count": 11, "id": "84e719a3-935e-47de-84b4-116848fe3765", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.degree(slasher, movie)" ] }, { "cell_type": "code", "execution_count": 12, "id": "a26ae26a-ee2c-49ba-9ca6-c36e7353f002", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fuzzy_tax.degree(slasher, thriller)" ] }, { "cell_type": "markdown", "id": "07b85b6c-978f-4925-9f2e-bc41dcaff0f0", "metadata": {}, "source": [ "## OSF constraints and clauses\n", "\n", "OSF constraints are simple expressions like:\n", "\n", "- `X:movie`, meaning that the entity denoted by `X` is of sort (type) `movie` .\n", "- `X.directed_by = Y`, meaning that the entity denoted by `X` is directed by the entity denoted by `Y`.\n", "- `X = Y`, meaning that the entities denoted by `X` and `Y` are the same.\n", "\n", "Where `X` is a tag (variable), `movie` is a sort, and `directed_by` is a feature (functional attribute).\n", "\n", "A conjunction of constraints forms an *OSF clause*." ] }, { "cell_type": "code", "execution_count": 13, "id": "b5ec01fc-61fb-4971-adc3-3f725a021dd4", "metadata": {}, "outputs": [], "source": [ "from fosf.parsers import parse_clause" ] }, { "cell_type": "code", "execution_count": 14, "id": "c09403e5-91e6-4f33-b4df-ff9ebf68ffbe", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The clause X : movie & X.directed_by = Y & X.written_by = Z & Y : director & Y = Z. is composed of the following constraints:\n", "\t- Y = Z ` of type \n", "\t- Y : director ` of type \n", "\t- X.written_by = Z ` of type \n", "\t- X : movie ` of type \n", "\t- X.directed_by = Y` of type \n" ] } ], "source": [ "clause_str = \"X:movie & X.directed_by = Y & Y:director & X.written_by = Z & Y = Z\"\n", "clause = parse_clause(clause_str)\n", "print(f\"The clause {clause} is composed of the following constraints:\")\n", "for constraint in clause:\n", " print(f\"\\t- {str(constraint):17s}` of type {type(constraint)}\")" ] }, { "cell_type": "markdown", "id": "a5c3e3dc-a77a-4276-8b8f-499b4afb21e3", "metadata": {}, "source": [ "Graphical representation of an OSF clause:" ] }, { "cell_type": "code", "execution_count": 15, "id": "f2f56b34-2b63-4154-8d31-53b9b52e34b6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(clause)" ] }, { "cell_type": "markdown", "id": "ba8e7dfb-bcfc-4a4e-a5e4-e84a3fdde6e8", "metadata": {}, "source": [ "The clause represents some movie `X` directed by some `Y` (who is a director) and written by some `Z` (implicitly of sort `top`), and `Z` and `Y` are the same entity." ] }, { "cell_type": "markdown", "id": "091f22cf-0d5c-4e2b-abdd-167286949208", "metadata": {}, "source": [ "## OSF constraint normalization" ] }, { "cell_type": "code", "execution_count": 16, "id": "1324b996-e609-481d-9b2f-18e69e40fba4", "metadata": {}, "outputs": [], "source": [ "from fosf.reasoning import normalize_clause" ] }, { "cell_type": "markdown", "id": "e5c34e38-572d-4c0a-a3f4-0c6589951512", "metadata": {}, "source": [ "OSF clauses can be simplified into a normal form." ] }, { "cell_type": "code", "execution_count": 17, "id": "deb8509d-9e6b-4fb8-b551-0d91a4418d93", "metadata": {}, "outputs": [], "source": [ "normalized_clause = normalize_clause(clause, fuzzy_tax)" ] }, { "cell_type": "code", "execution_count": 18, "id": "8525c18c-5fee-4eea-a19c-cf34f3c03013", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(normalized_clause)" ] }, { "cell_type": "markdown", "id": "4365e120-7500-4d98-8c50-76578f1a6302", "metadata": {}, "source": [ "A slightly more complex example:" ] }, { "cell_type": "code", "execution_count": 19, "id": "08042a73-6fb6-4a65-89d4-41b746716810", "metadata": {}, "outputs": [], "source": [ "clause_str = \"\"\"\n", "X:movie & X.title = W & W: string &\n", "X1 : thriller & X1.directed_by = Y & Y : director &\n", "X2: horror & X2.written_by = Z & Z : person & X2.directed_by = Z\n", " & X = X1 & X = X2\n", "\"\"\"\n", "clause = parse_clause(clause_str)" ] }, { "cell_type": "markdown", "id": "a25a4405-70a9-4075-9e55-eb59324ac4ff", "metadata": {}, "source": [ "Before normalization:" ] }, { "cell_type": "code", "execution_count": 20, "id": "577eafb0-6d5d-4ee5-8084-85448e347278", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(clause)" ] }, { "cell_type": "markdown", "id": "3a7538c6-ca10-4e41-b5f4-a3ea708fb64b", "metadata": {}, "source": [ "After normalization:" ] }, { "cell_type": "code", "execution_count": 21, "id": "b2610fcc-88af-44e2-9893-0cea3b33247d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(normalize_clause(clause, fuzzy_tax))" ] }, { "cell_type": "markdown", "id": "19888d4f-cb22-46c4-95c6-629315b77cd0", "metadata": {}, "source": [ "The normalization works as follows:\n", "\n", "- Since `X`, `X1` and `X2` are supposed to be the same entity, then this entity must be a `movie`, a `thriller` and a `horror` at the same time. According to OSF logic, the sort associated with this entity must be the GLB of these three sorts, i.e., `slasher`\n", "- Since features are *functional* and we have `X1.directed_by = Y`, `X2.directed_by = Z` and `X1 = X2`, then we must have `Y = Z`.\n", "- Etc." ] }, { "cell_type": "markdown", "id": "ac6c496a-79a4-4a2f-9827-fe7c92e3dce9", "metadata": {}, "source": [ "## OSF Terms\n", "\n", "An OSF term is another type of syntactic expression in OSF logic, which generalizes first-order terms.\n", "\n", "Every OSF term can be rewritten as an OSF clause, and (rooted solved) OSF clauses can be rewritten as (normal) OSF terms." ] }, { "cell_type": "code", "execution_count": 22, "id": "be77828d-fbf4-4202-9898-842145f9d1db", "metadata": {}, "outputs": [], "source": [ "from fosf.parsers import parse_term" ] }, { "cell_type": "code", "execution_count": 23, "id": "bbb16adb-0ab8-43b4-976d-815e4f2b2655", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie(directed_by -> Y : director, written_by -> Y, title -> X1 : string)\n" ] } ], "source": [ "term_str = \"\"\"\n", "movie(\n", " directed_by -> Y:director,\n", " written_by -> Y,\n", " title -> string\n", ")\n", "\"\"\"\n", "term = parse_term(term_str)\n", "print(term)" ] }, { "cell_type": "code", "execution_count": 24, "id": "adefed62-0af1-45bc-a785-f112074c029a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie(\n", " directed_by -> Y : director\n", " written_by -> Y\n", " title -> X1 : string\n", ")\n" ] } ], "source": [ "term.pretty_print()" ] }, { "cell_type": "code", "execution_count": 25, "id": "28df7abd-d509-47a3-a8bf-f285426c785f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(term)" ] }, { "cell_type": "markdown", "id": "725ab872-eefe-4dfa-94f6-9efb9e0cbf70", "metadata": {}, "source": [ "Translating into an OSF clause:" ] }, { "cell_type": "code", "execution_count": 26, "id": "0197242a-b196-407e-b306-fbb17fc13890", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie & X0.directed_by = Y & X0.title = X1 & X0.written_by = Y & X1 : string & Y : director.\n" ] } ], "source": [ "print(term.to_clause())" ] }, { "cell_type": "markdown", "id": "cd66a711-34ff-4b0a-9b46-5c8527340f02", "metadata": {}, "source": [ "## OSF term normalization" ] }, { "cell_type": "markdown", "id": "44b861c5-f2c7-4b75-89e7-9b736cb67239", "metadata": {}, "source": [ "OSF terms with reduntant sorts/features can be normalized" ] }, { "cell_type": "code", "execution_count": 27, "id": "4d62ca7b-b4f3-4c52-ac35-974f56904fe7", "metadata": {}, "outputs": [], "source": [ "from fosf.reasoning import normalize_term" ] }, { "cell_type": "code", "execution_count": 28, "id": "9ea32afe-3ba2-4aa2-a0e7-5abb879e1529", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie(directed_by -> Y : director(spouse -> P : producer), directed_by -> Z : person(name -> X1 : string), written_by -> Y, produced_by -> P(spouse -> Y), title -> X2 : string)\n" ] } ], "source": [ "term_str = \"\"\"\n", "movie(\n", " directed_by -> Y:director(spouse -> P:producer),\n", " directed_by -> Z:person(name -> string),\n", " written_by -> Y,\n", " produced_by -> P(spouse -> Y),\n", " title -> string\n", ")\n", "\"\"\"\n", "term = parse_term(term_str)\n", "print(term)" ] }, { "cell_type": "code", "execution_count": 29, "id": "0169c993-da98-440a-8643-0240fa789197", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(term)" ] }, { "cell_type": "code", "execution_count": 30, "id": "6b8ad5f8-c9db-4872-844f-a8c51e49767c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie(\n", " directed_by -> Y : director(\n", " name -> X1 : string\n", " spouse -> P : producer(\n", " spouse -> Y\n", " )\n", " )\n", " written_by -> Y\n", " produced_by -> P\n", " title -> X2 : string\n", ")\n" ] } ], "source": [ "normalized_term = normalize_term(term, fuzzy_tax)\n", "normalized_term.pretty_print()" ] }, { "cell_type": "code", "execution_count": 31, "id": "4443528c-2b7d-4958-bf84-8b5513391a61", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(normalized_term)" ] }, { "cell_type": "markdown", "id": "6f849264-41a9-4994-88d1-24b507288659", "metadata": {}, "source": [ "## Fuzzy OSF term unification" ] }, { "cell_type": "markdown", "id": "e57ff7f2-10e9-4957-ac19-f193baf378f8", "metadata": {}, "source": [ "Similarly to first-order terms, OSF terms can be unified. In fuzzy OSF logic, unification takes into account the sorts associated with the tags, and their fuzzy subsumption." ] }, { "cell_type": "code", "execution_count": 32, "id": "5de52ce9-c461-440f-a287-bcbc859c6b55", "metadata": {}, "outputs": [], "source": [ "from fosf.syntax import NormalTerm\n", "from fosf.reasoning import unify_terms" ] }, { "cell_type": "code", "execution_count": 33, "id": "9716a3c6-a0d4-4819-a279-f4888c6b1323", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : thriller(\n", " directed_by -> Y : top\n", " written_by -> Y\n", ")\n" ] } ], "source": [ "term1 = parse_term(\"X:thriller(directed_by -> Y:top, written_by -> Y)\",\n", " # If we know we are parsing a term which is in normal form, we can pass this argument\n", " create_using=NormalTerm)\n", "term1.pretty_print()" ] }, { "cell_type": "code", "execution_count": 34, "id": "3a8443e8-548d-48ee-9249-680bc408a518", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Z : horror(\n", " directed_by -> X0 : director\n", " written_by -> X1 : person\n", ")\n" ] } ], "source": [ "term2 = parse_term(\"Z:horror(directed_by -> director, written_by -> person)\",\n", " create_using=NormalTerm)\n", "term2.pretty_print()" ] }, { "cell_type": "code", "execution_count": 35, "id": "09ebfb71-b7ae-41b2-836b-99429fd13c9d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : slasher(\n", " directed_by -> X1 : director\n", " written_by -> X1\n", ")\n", "0.5\n" ] } ], "source": [ "unifier, degree = unify_terms([term1, term2], fuzzy_tax, return_degree=True)\n", "unifier.pretty_print()\n", "print(degree)" ] }, { "cell_type": "markdown", "id": "08afb28f-ea16-4dd2-8455-f5d4a14ae322", "metadata": {}, "source": [ "In fuzzy OSF logic, we can compute a unification degree as the minimum subsumption degree between the unifier and each initial term.\n", "In this case, the unification degree is 0.5." ] }, { "cell_type": "markdown", "id": "19c44376-c978-45c3-b277-46304bf1cc5f", "metadata": {}, "source": [ "Visualization of how the terms are unified:" ] }, { "cell_type": "code", "execution_count": 36, "id": "c6d74480-1c14-411a-968b-83baebf11d4f", "metadata": {}, "outputs": [], "source": [ "from fosf.utils.draw import unification_to_agraph" ] }, { "cell_type": "code", "execution_count": 37, "id": "f00b09ad-92bf-407c-bb59-69e3db775d72", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(unification_to_agraph([term1, term2], fuzzy_tax))" ] }, { "cell_type": "markdown", "id": "d9f96e60-654b-431b-ac50-e5d8b127b3ed", "metadata": {}, "source": [ "## Sort definitions" ] }, { "cell_type": "markdown", "id": "a80948bb-81c3-4057-a016-3a73f0bd9670", "metadata": {}, "source": [ "Sort definitions allow to specify structural constraints on OSF terms. E.g.: *If X is a movie and X is directed by Y, then Y must be a director*.\n", "\n", "An *OSF theory* is composed of a (fuzzy) sort taxonomy and a set of sort definitions. An OSF theory should satisfy *order-consistency*, that is:\n", "if `s` is a subsort of `t`, then `s` must inherit all of `t`'s constraints." ] }, { "cell_type": "code", "execution_count": 38, "id": "771506b8-8273-4fb9-b22b-0a4ee26ac27e", "metadata": {}, "outputs": [], "source": [ "from fosf.parsers import parse_theory" ] }, { "cell_type": "code", "execution_count": 39, "id": "45bf66d8-29c9-4365-9613-3a9e5fc9859b", "metadata": {}, "outputs": [], "source": [ "theory_str = \"\"\"\n", "# fuzzy sort taxonomy\n", "bot < director, writer, producer, string, slasher.\n", "director, writer, producer < person.\n", "slasher < horror, thriller (0.5).\n", "thriller, horror < movie.\n", "person, string, movie < top.\n", "\n", "# sort definitions\n", "person := Yp:person(spouse -> Y1:person(spouse -> Yp)). # The spouse of a person Yp must be a person, and their spouse must be Yp\n", "director := Yd:director(spouse -> Y2:person(spouse -> Yd)). # director is a subsort of person, so it must inherit the spouse constraint\n", "writer := Yw:writer(spouse -> Y3:person(spouse -> Yw)). # same\n", "producer := Ypr:producer(spouse -> Y4:person(spouse -> Ypr)). # same\n", "\n", "movie := Ym:movie(directed_by -> Y5: director).\n", "thriller := Yt:thriller(directed_by -> Y6: director).\n", "horror := Yh:horror(directed_by -> Y7: director).\n", "slasher := Ys:slasher(directed_by -> Y8: director).\n", "\n", "string := Ystr:string.\n", "\"\"\"\n", "theory = parse_theory(theory_str)" ] }, { "cell_type": "code", "execution_count": 40, "id": "21762f76-83ca-4b9b-9247-36c3174c92f0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "The sort 'horror' is defined as:\n", "Yh : horror(\n", " directed_by -> Y7 : director\n", ")\n" ] } ], "source": [ "sort = \"horror\"\n", "definition = theory[sort]\n", "print(f\"\\nThe sort '{sort}' is defined as:\")\n", "definition.pretty_print()" ] }, { "cell_type": "markdown", "id": "0c9bd2f1-c3bb-4fac-900a-9dc2f09c656f", "metadata": {}, "source": [ "Not every sort needs to be explicitly defined as above. Instead, one can specify only the essential ones and then close the theory." ] }, { "cell_type": "code", "execution_count": 41, "id": "76d7d0e0-d953-40f3-b5bf-fe7fedf6c2b6", "metadata": {}, "outputs": [], "source": [ "theory_str = \"\"\"\n", "# sort taxonomy\n", "bot < director, writer, producer, string, slasher.\n", "director, writer, producer < person.\n", "slasher < horror, thriller (0.5).\n", "thriller, horror < movie.\n", "person, string, movie < top.\n", "\n", "# sort definitions\n", "person := Yp:person(spouse -> Y1:person(spouse -> Yp)).\n", "movie := Ym:movie(directed_by -> Y5: director).\n", "string := Ystr:string.\n", "\"\"\"\n", "theory = parse_theory(theory_str, ensure_closed=True)" ] }, { "cell_type": "markdown", "id": "de8a042b-d98f-481d-ac9d-a1d0c1ff4fae", "metadata": {}, "source": [ "Now, e.g., `horror` will inherit the constraints from `movie`." ] }, { "cell_type": "code", "execution_count": 42, "id": "eb15cf4a-cf01-40a9-bd23-b5f77c29f50b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "The sort 'horror' is defined as:\n", "Yhorror : horror(\n", " directed_by -> Y5 : director\n", ")\n" ] } ], "source": [ "definition = theory[sort]\n", "print(f\"\\nThe sort '{sort}' is defined as:\")\n", "definition.pretty_print()" ] }, { "cell_type": "markdown", "id": "a321af5b-5278-4f00-be85-f4e7f602e09c", "metadata": {}, "source": [ "When a term is normalized, it can be normalized according to the given theory." ] }, { "cell_type": "code", "execution_count": 43, "id": "db43ab0f-a67a-47a3-98a8-2ecc8fd6fe28", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : movie(\n", " directed_by -> X0 : director\n", ")\n" ] } ], "source": [ "term = parse_term(\"X:movie(directed_by -> top)\")\n", "normal_term = normalize_term(term, theory.taxonomy, theory)\n", "normal_term.pretty_print()" ] }, { "cell_type": "markdown", "id": "9b584a76-4e2d-40ea-968c-25abf5902c1e", "metadata": {}, "source": [ "Without passing the theory, the term would be normalized as usual (in this case the term is already in normal form)" ] }, { "cell_type": "code", "execution_count": 44, "id": "7851d40c-0b4c-4dae-a19b-66d73a1dc1df", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : movie(\n", " directed_by -> X0 : top\n", ")\n" ] } ], "source": [ "normal_term_no_theory = normalize_term(term, theory.taxonomy)\n", "normal_term_no_theory.pretty_print()" ] }, { "cell_type": "markdown", "id": "f7799ff5-711c-486e-a838-b3ac8943fdf9", "metadata": {}, "source": [ "The constraints in the theory are checked *lazily*. E.g.: if the feature `directed_by` is not specified, then there is no need to check that its value is of the correct sort." ] }, { "cell_type": "code", "execution_count": 45, "id": "d3417bec-14a8-4667-95be-0b01816b1454", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : movie\n" ] } ], "source": [ "term = parse_term(\"X:movie\")\n", "normal_term = normalize_term(term, theory.taxonomy, theory)\n", "normal_term.pretty_print()" ] }, { "cell_type": "markdown", "id": "166a6bbe-a986-4684-ba45-5fb601cb528b", "metadata": {}, "source": [ "Another example:" ] }, { "cell_type": "code", "execution_count": 46, "id": "6f85c28d-1b8e-438c-8f1c-a2b311e6a252", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X0 : movie(\n", " directed_by -> X1 : director(\n", " spouse -> W : person(\n", " spouse -> X1\n", " )\n", " )\n", " written_by -> W\n", ")\n" ] } ], "source": [ "term = parse_term(\n", " \"\"\"\n", " movie(\n", " directed_by -> top(spouse -> W:top),\n", " written_by -> W(spouse -> director)\n", " )\n", " \"\"\"\n", ")\n", "normal_term = normalize_term(term, theory.taxonomy, theory)\n", "normal_term.pretty_print()" ] }, { "cell_type": "markdown", "id": "2076877d-e4fc-4ad2-b4e6-a13464d88fe5", "metadata": {}, "source": [ "### Degree of satisfaction of a term with respect to a theory" ] }, { "cell_type": "markdown", "id": "30288dbd-e80d-4887-9d78-9a910984e4d5", "metadata": {}, "source": [ "In fuzzy OSF logic, a term might satisfy the constraints imposed by the theory up to some degree in (0, 1].\n" ] }, { "cell_type": "code", "execution_count": 47, "id": "2514f5a2", "metadata": { "tags": [] }, "outputs": [], "source": [ "theory_str = \"\"\"\n", "# sort taxonomy\n", "bot < thrillerdirector, horrorwriter, producer, string, slasher.\n", "director, writer, producer < person.\n", "thrillerdirector < director.\n", "horrorwriter < writer.\n", "slasher < thriller (0.5), horror.\n", "thriller, horror < movie.\n", "person, string, movie < top.\n", "\n", "# sort definitions\n", "person := Yp:person(spouse -> Y1:person(\n", " spouse -> Yp,\n", " last_name -> Yn:string),\n", " last_name -> Yn).\n", "thrillerdirector := Yt:thrillerdirector(director_of -> Y2: thriller).\n", "horrorwriter := Yh:horrorwriter(writer_of -> Y3: horror).\n", "movie := Ym:movie(directed_by -> Y5: director(director_of -> Ym),\n", " written_by -> Y6: writer(writer_of -> Ym)).\n", "\"\"\"\n", "theory = parse_theory(theory_str, ensure_closed=True)" ] }, { "cell_type": "code", "execution_count": 48, "id": "400b647f-26f8-48a1-acbd-4919ea18d26c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(theory.taxonomy, drop=\"bot\")" ] }, { "cell_type": "code", "execution_count": 49, "id": "265116b8-c3be-4dea-a7c1-b876d3935c9e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "term_str = \"\"\"\n", "X:movie( directed_by -> X0:thrillerdirector(spouse -> X1),\n", " written_by -> X1:horrorwriter(spouse -> X0) )\n", "\"\"\"\n", "term = parse_term(term_str)\n", "display(term)" ] }, { "cell_type": "markdown", "id": "23216c2b-5be9-483d-9ee0-5cd2f6427204", "metadata": {}, "source": [ "If we normalize the term according to the theory, it turns out that it should be a `slasher`:" ] }, { "cell_type": "code", "execution_count": 50, "id": "139e70c6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X : slasher(\n", " directed_by -> X0 : thrillerdirector(\n", " spouse -> X1 : horrorwriter(\n", " spouse -> X0\n", " writer_of -> X\n", " )\n", " director_of -> X\n", " )\n", " written_by -> X1\n", ")\n" ] }, { "data": { "text/plain": [ "0.5" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "normal_term, alpha = normalize_term(term, theory.taxonomy, theory, return_degree=True)\n", "normal_term.pretty_print()\n", "alpha" ] }, { "cell_type": "markdown", "id": "ca5eeb1c-ddc7-4ed1-873c-b332235efa60", "metadata": {}, "source": [ "The term satisfies the theory with degree 0.5 since, according to the theory, a `thrillerdirector` directs `thriller`s." ] }, { "cell_type": "code", "execution_count": 51, "id": "679df2df-3f95-493d-85a6-97d6c68031d6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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