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Questions tagged [formal-systems]

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2
votes
1answer
84 views

Representable functions on System T

In Proof and Types by Girard et alii. Section 7.4.2, I think that the authors want to show that: (1) The set of functions definable in System T coincides with the set of recursive functions whose ...
9
votes
1answer
123 views

System F and System T names

Does anyone know where do the names System "F" and System "T" comes from? I am not asking who introduced those names (Girard System F, and Gödel System T), but what the "F" and the "T" means.
-1
votes
1answer
47 views

semantics of “destroy object” in HRU model

In the access control model HRU there is the primitive request destroy object o which is only defined if o is an object in the current protection state which is not a subject. I am interested in why ...
6
votes
0answers
84 views

Salomaa's axiomatisation of regular languages and the use of regular expression in it

I am reading the classical article of A. Salomaa where he gives two axiom systems for regular sets and proofs consistency and completeness. As I have understood it, an axiomatic system in some logic (...
3
votes
2answers
361 views

Derivation of cut rule in sequent calculus

I searched internet but could not find any good weblink which shows how the cut rule for sequent calculus can be derived. I found this paper but it uses implication elimination rule which I cannot ...
20
votes
7answers
1k views

How can we know that formal methods work?

An important goal of formal methods is to prove the correctness of systems, either by automated or human-directed means. However, it seems that even if you can give a correctness proof, you may NOT be ...
17
votes
3answers
760 views

Formal Semantics of Programming Languages

I'm new to programming languages theory and I'm seeking for a good resource on a resource for formal semantics of programming languages. Specifically looking for structural operational semantics. I ...
6
votes
1answer
439 views

Books on Mu-Calculus

I need a book on Mu-Calculus with lots of examples that can be used for self-study and preparation for exams.