# Questions tagged [modal-logic]

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### Meaning of the “why not” modality from linear type theory?

In linear type theory there is a modality written ! where !T can be read as "infinite copies of ...
0answers
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### Is it possible to define logic programming for every logic that has implication and conjunction connectives?

Is it possible to define logic programming for every logic that has implication and conjunction connectives? Does logic programming adds something new to the usual inference process. By usual ...
0answers
86 views

### How to translate lambda calculus into (first-order, modal) logic, is it possible at all?

It is possible (using formal semantics) to translate natural language sentences into lambda expressions. So, is it possible to translate those lambda expressions into some logic, e.g. into first-order ...
1answer
86 views

### How to express modalities in lambda calculus - are some extensions required?

Lambda calculus can be used for encoding semantics of natural language, e.g. http://yoavartzi.com/tutorial/ contains full details about semantic parsing of natural language: converting natural ...
0answers
46 views

### How to express modalities in rule bases, knowledge bases or expert systems?

Knowledge bases and expert systems are usually production rules systems and as such they lack expressive means for expressing modalities like "agent believes in statement", "agent has duty to perform ...
1answer
146 views

### How to represent software code for code generation / automatic programming? How to integrate procedural and declarative knowledge?

I am learning about deontic logics and there I can make the following inferences: If A then there is **duty to create an entity of class C**, ...
1answer
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### Modal Logic - □ distribution over →

In the modal logic K does □ distribution over →? For example, would the following be correct? □(p → q) ≡ □p → □q
1answer
205 views

### Kripke Models - evaluating the meaning of $\Box\Box p$

In Kripke models the evaluation of $x \vdash \Box p$ would be that every world reachable from $x$ satisfies $p$. But how would the truth of $\Box\Box p$ be evaluated in Kripke models?
1answer
335 views

### Modal logic axiom S4, transitive and reflexive frame, tableaux solver

I have a difficult problem to solve which as mentioned in the title is related to modal logic axiom S4. So, here is some background knowledge that can be useful: S4 axiom is a class of transitive and ...
1answer
116 views

### complexity of modal logic axioms

I am writing a paper in which I want to include complexity results for different modal logics and possibly add a reference to a specific paper. At the moment I have the following: K- no restrictions ...
2answers
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### The use of modal logic in computer science [closed]

I have a tentative understanding of modal logic. Can anyone explain modal logic as it is used in computer science?
1answer
381 views