Sentence examples for proof term from inspiring English sources

In this respect, \ \Box\) cannot be replaced by any specific proof term depending on \(t\) only and (6) cannot be presented in an entirely explicit justification-style format.

We claim that proof terms provide more information than just graphs about the process of constructing systems, and allow the specification of reconfigurations as proof term rewritings.

However, writing a proof term whose type is that of a logical formula can be a hard task, even for very simple propositions.

The proof normalization approach views the state of a computation as a proof term and the process of computing as normalization (known alternatively as β-reduction or cut-elimination).

The command Theorem allows us to state some formula that we want to prove and it starts the interactive proof mode, in which tactics can be used to produce the wanted proof term.

For the mapping from the syntactic source calculus DL to the semantic target calculus LP, the unary type-forming operations are considered inert: the inference rules for these connectives, consequently, leave no trace in the LP proof term associated with a derivation in the syntactic source calculus.

Proofs (justifications) are represented by proof terms which do not contain individual variables.

Proof terms in \(\mathsf{LP}\) are nothing but BHK terms understood as classical proofs.

Hierarchy constructors are defined in the type system to construct proof terms capturing hierarchical structure.

Security policies are, in Aglet, proof terms that ensure some security policy.

In order to ease the task of writing proof terms, this library provides an implementation of proof search procedure.