Fitting semantics for modal logic
E504785
Kripke-style semantics
intuitionistic-style semantics
logical framework
possible-worlds semantics
semantics for modal logic
Fitting semantics for modal logic is a framework in mathematical logic that extends Kripke-style semantics to provide a more general and often intuitionistic treatment of modal operators.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Fitting semantics for modal logic canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5234078 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fitting semantics for modal logic Context triple: [Melvin Fitting, knownFor, Fitting semantics for modal logic]
-
A.
Semantical Considerations on Modal Logic
Semantical Considerations on Modal Logic is a landmark philosophical paper by Saul Kripke that helped found possible-worlds semantics and revolutionized the study of modal logic.
-
B.
“A Logic for Semantic Information”
“A Logic for Semantic Information” is a scholarly work that develops a formal logical framework for representing and reasoning about semantic information.
-
C.
Logical Methods in Computer Science
Logical Methods in Computer Science is a peer-reviewed open-access journal focusing on theoretical computer science, particularly logic and its applications to computer science.
-
D.
routley star semantics
Routley star semantics is a possible-worlds-style semantic framework for relevant and paraconsistent logics that uses a special “star” operation on worlds to model negation without explosion.
-
E.
Temporal Logic of Actions
Temporal Logic of Actions is a formal framework for specifying and reasoning about concurrent and distributed systems using temporal logic to describe system behaviors over time.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Fitting semantics for modal logic Target entity description: Fitting semantics for modal logic is a framework in mathematical logic that extends Kripke-style semantics to provide a more general and often intuitionistic treatment of modal operators.
-
A.
Semantical Considerations on Modal Logic
Semantical Considerations on Modal Logic is a landmark philosophical paper by Saul Kripke that helped found possible-worlds semantics and revolutionized the study of modal logic.
-
B.
“A Logic for Semantic Information”
“A Logic for Semantic Information” is a scholarly work that develops a formal logical framework for representing and reasoning about semantic information.
-
C.
Logical Methods in Computer Science
Logical Methods in Computer Science is a peer-reviewed open-access journal focusing on theoretical computer science, particularly logic and its applications to computer science.
-
D.
routley star semantics
Routley star semantics is a possible-worlds-style semantic framework for relevant and paraconsistent logics that uses a special “star” operation on worlds to model negation without explosion.
-
E.
Temporal Logic of Actions
Temporal Logic of Actions is a formal framework for specifying and reasoning about concurrent and distributed systems using temporal logic to describe system behaviors over time.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
Kripke-style semantics
ⓘ
intuitionistic-style semantics ⓘ logical framework ⓘ possible-worlds semantics ⓘ semantics for modal logic ⓘ |
| aimsAt |
more general semantics than standard Kripke frames
ⓘ
unified treatment of modal and intuitionistic operators ⓘ |
| appliesTo |
intuitionistic modal logics
ⓘ
modal logics ⓘ non-classical logics ⓘ |
| characteristicFeature |
combination of Kripke accessibility with intuitionistic preorder
ⓘ
evaluation of formulas at ordered pairs of worlds and states ⓘ intuitionistic treatment of implication and necessity ⓘ use of partial orders on worlds ⓘ |
| clarifies |
interaction between modality and intuitionistic implication
ⓘ
relationship between constructive truth and necessity ⓘ |
| ensures | monotonicity of truth with respect to the underlying order ⓘ |
| extends | Kripke semantics for modal logic ⓘ |
| field |
mathematical logic
ⓘ
modal logic ⓘ model theory ⓘ proof theory ⓘ |
| generalizes | Kripke semantics for modal logic ⓘ |
| hasComponent |
accessibility relation between worlds
ⓘ
preorder or partial order on worlds ⓘ valuation function respecting intuitionistic monotonicity ⓘ |
| influencedBy |
Kripke semantics for intuitionistic logic
ⓘ
classical Kripke semantics for modal logic ⓘ |
| influences |
research on intuitionistic modal logics
ⓘ
semantics for non-normal modal logics ⓘ |
| namedAfter | Melvin Fitting ⓘ |
| relatedTo |
Kripke semantics for intuitionistic logic
ⓘ
neighborhood semantics ⓘ possible-worlds semantics for modal logic ⓘ topological semantics for modal logic ⓘ |
| supports |
constructive reasoning about necessity and possibility
ⓘ
intuitionistic interpretation of modal operators ⓘ |
| typicalApplication |
semantics of knowledge and belief in constructive settings
ⓘ
semantics of provability modalities ⓘ |
| usedFor |
completeness proofs for modal systems
ⓘ
correspondence results between syntax and semantics ⓘ soundness proofs for modal systems ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Fitting semantics for modal logic Description of subject: Fitting semantics for modal logic is a framework in mathematical logic that extends Kripke-style semantics to provide a more general and often intuitionistic treatment of modal operators.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.