Name
Abstract | ||
|---|---|---|
The Theory of Contexts is a type-theoretic axiomatization aiming to give a metalogical account of the fundamental notions of variable and context as they appear in Higher Order Abstract Syntax. In this paper, we prove that this theory is consistent by building a model based on functor categories. By means of a suitable notion of forcing, we prove that this model validates Classical Higher Order Logic, the Theory of Contexts, and also (parametrised) structural induction and recursion principles over contexts. Our approach, which we present in full detail, should also be useful for reasoning on other models based on functor categories. Moreover, the construction could also be adopted, and possibly generalized, for validating other theories of names and binders. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1017/S0956796806005892 | J. Funct. Program. |
Keywords | Field | DocType |
structural induction,classical higher order logic,metalogical account,higher order abstract syntax,fundamental notion,suitable notion,type-theoretic axiomatization,recursion principle,full detail,functor category | Algebra,Computer science,Algorithm,Theoretical computer science,Functor,Forcing (mathematics),Higher-order abstract syntax,Recursion,Higher-order logic,Structural induction | Journal |
Volume | Issue | ISSN |
16 | 3 | 0956-7968 |
Citations | PageRank | References |
27 | 1.27 | 23 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anna Bucalo | 1 | 39 | 4.12 |
| Furio Honsell | 2 | 1254 | 146.59 |
| Marino Miculan | 3 | 502 | 43.24 |
| Ivan Scagnetto | 4 | 232 | 20.87 |
| Martin Hoffman | 5 | 27 | 1.27 |