A General Theory of Dedu tion , Indu tion ,

Combining Theorem Proving and Model

s a f e t y : t h e o r e m p r o v e r f e e d b a c k Fig. 1. S heme of proving safety statements When a safe data abstra tion is obtained, veri ation of the model against a property an start. First, the abstra t data type and fun tion de nitions are inserted into the system spe i ation substituting the on rete de nitions of the original model. Next, the abstra t model together with the prope...

Ëøóöý Ó Ö Áòù Blockinøóò Ò Aeùôöð Îò Blockinòø Êðð 1⋆¸ååö Óö 2 ¸ Òò Êóöø ĺ Óò×øøøðð 2

Abstra t. In order to turn Nuprl's logi into a fully intuitionisti logi , we are urrently experimenting with versions of Brouwer's bar indu tion prin iple. Using our formalization of Nuprl's metatheory in Coq, we have proved the lassi al validity of two su h prin iples: one for sequen es of numbers that involved little hanges to the system, and a more general one for sequen es of losed terms wi...

Cmsc 351 2 Mathematical Induction

brie y review indu tion through some examples. It usually works as follows. Let T be a theorem (statement that we want to prove). Suppose T in ludes a parameter n whose value an be any natural number (a positive integer). Instead of proving dire tly that T holds for all values of n, we prove the following two onditions: 1. Basis of the indu tion: T holds for n = 1 2. Indu tive Step: For every n...

Independent Indu tion over stru tured networks

A De ision-Tree-Based Symboli Rule Indu tion System for Text Categorization