TY - GEN

T1 - Hypergraph Representation of Lambda-Terms

AU - Yasen, Alimujiang

AU - Ueda, Kazunori

N1 - Publisher Copyright:
© 2016 IEEE.

PY - 2016/8/10

Y1 - 2016/8/10

N2 - Substitution in the calculus is a subtle operation. In a formal description, Barendregt's variable convention isassumed to avoid variable capture, but such an assumption is notwell suited for implementation on computers. We introduce graphrepresentation and manipulation of Terms, in which bound andfree variables are encoded by using hyperlinks with differentattributes. A graph type called hlground is generalized to identifythe scope of a term n in substitution m[x:= n], which enablesbound variables and free variables to have suitable behaviorduring the substitution. Our representation of the Terms arereadable and the definition of substitution in this technique isfree from any side conditions on the freeness and freshness of variables.

AB - Substitution in the calculus is a subtle operation. In a formal description, Barendregt's variable convention isassumed to avoid variable capture, but such an assumption is notwell suited for implementation on computers. We introduce graphrepresentation and manipulation of Terms, in which bound andfree variables are encoded by using hyperlinks with differentattributes. A graph type called hlground is generalized to identifythe scope of a term n in substitution m[x:= n], which enablesbound variables and free variables to have suitable behaviorduring the substitution. Our representation of the Terms arereadable and the definition of substitution in this technique isfree from any side conditions on the freeness and freshness of variables.

KW - Graph types

KW - Hypergraphs

KW - Substitution

KW - Terms

UR - http://www.scopus.com/inward/record.url?scp=84987958752&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84987958752&partnerID=8YFLogxK

U2 - 10.1109/TASE.2016.25

DO - 10.1109/TASE.2016.25

M3 - Conference contribution

AN - SCOPUS:84987958752

T3 - Proceedings - 10th International Symposium on Theoretical Aspects of Software Engineering, TASE 2016

SP - 113

EP - 116

BT - Proceedings - 10th International Symposium on Theoretical Aspects of Software Engineering, TASE 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 10th International Symposium on Theoretical Aspects of Software Engineering, TASE 2016

Y2 - 17 July 2016 through 19 July 2016

ER -