Transreal arithmetic is a total arithmetic that contains real arithmetic, but which has no arithmetical exceptions. It allows the specification of the Universal Perspex Machine which unifies geometry… Expand

We present a verifiable symbolic definite integral table look-up: a system which matches a query, comprising a definite integral with parameters and side conditions, against an entry in verifiable table and uses a call to a library of facts about the reals in the theorem prover PVS to aid in the transformation of the table entry into an answer.Expand

A verifiable symbolic definite integral table look up: a system which matches a query comprising a definite integral with parameters and side conditions, against an entry in a verifiable table and uses a call to a library of lemmas about the reals in the theorem prover PVS to aid in the transformation of the table entry into an answer.Expand

Rippling is a method of controlling rewriting of the terms in an induction step of an inductive proof, to ensure that a position is reached whereby the induction hypothesis can be applied.
Rippling… Expand

We present a veriied symbolic deenite integral table look-up: a system which matches a query, comprising a deenite integral with parameters and side conditions, against an entry in a veriied table… Expand

Dyckhoff and Pinto present a weakly normalising system of reductions on derivations in the cut-free intuitionistic sequent calculus, where the normal derivations are characterised as the fixed points… Expand