A logic calculus is presented that is a conservative extension of linear logic. The motivation beneath this work concerns lazy evaluation, true concurrency and interferences in proof search. The calculus includes two new connectives to deal with multisequent structures and has the cut-elimination property. Extensions are proposed that give first results concerning our objectives
The proof-theoretic approach to logic programming has benefited from the introduction of focused pro...
International audienceLinear logic enjoys strong symmetries inherited from classical logic while pro...
AbstractLinear Logic, we concisely write LL, has been introduced recently by Jean Yves Girard in The...
International audienceThe sequent calculus is often criticized for requiring proofs to contain large...
The sequent calculus is often criticized for requiring proofs to contain large amounts of low-level ...
PreprintIn this paper, we present a propositional sequent calculus containing disjoint copies of cla...
International audienceWe review the relationship between abstract machines for (call-by-name or call...
Proof search in inference systems such as the sequent calculus is a process of discovery. Once a pro...
In this paper, we introduce two focussed sequent calculi, LKp(T) and LK+(T), that are based on Mille...
AbstractThe theory of cut-free sequent proofs has been used to motivate and justify the design of a ...
Although logic and proof theory have been successfully used as a framework for the specification of ...
In usual proof systems, like the sequent calculus, only a very limited way of combining proofs is av...
In the previous chapter we developed linear logic in the form of natural deduction, which is appropr...
The theory of cut-free sequent proofs has been used to motivate and justify the design of a number o...
This thesis provides a sequent calculus for linear logic enriched with a non comutative and selfdual...
The proof-theoretic approach to logic programming has benefited from the introduction of focused pro...
International audienceLinear logic enjoys strong symmetries inherited from classical logic while pro...
AbstractLinear Logic, we concisely write LL, has been introduced recently by Jean Yves Girard in The...
International audienceThe sequent calculus is often criticized for requiring proofs to contain large...
The sequent calculus is often criticized for requiring proofs to contain large amounts of low-level ...
PreprintIn this paper, we present a propositional sequent calculus containing disjoint copies of cla...
International audienceWe review the relationship between abstract machines for (call-by-name or call...
Proof search in inference systems such as the sequent calculus is a process of discovery. Once a pro...
In this paper, we introduce two focussed sequent calculi, LKp(T) and LK+(T), that are based on Mille...
AbstractThe theory of cut-free sequent proofs has been used to motivate and justify the design of a ...
Although logic and proof theory have been successfully used as a framework for the specification of ...
In usual proof systems, like the sequent calculus, only a very limited way of combining proofs is av...
In the previous chapter we developed linear logic in the form of natural deduction, which is appropr...
The theory of cut-free sequent proofs has been used to motivate and justify the design of a number o...
This thesis provides a sequent calculus for linear logic enriched with a non comutative and selfdual...
The proof-theoretic approach to logic programming has benefited from the introduction of focused pro...
International audienceLinear logic enjoys strong symmetries inherited from classical logic while pro...
AbstractLinear Logic, we concisely write LL, has been introduced recently by Jean Yves Girard in The...