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diff --git a/tests/language/lexer/lexer.at b/tests/language/lexer/lexer.at
index 2c1dfc93b8..725c260657 100644
--- a/tests/language/lexer/lexer.at
+++ b/tests/language/lexer/lexer.at
@@ -1,3 +1,19 @@
+dnl PSPP - a program for statistical analysis.
+dnl Copyright (C) 2017 Free Software Foundation, Inc.
+dnl
+dnl This program is free software: you can redistribute it and/or modify
+dnl it under the terms of the GNU General Public License as published by
+dnl the Free Software Foundation, either version 3 of the License, or
+dnl (at your option) any later version.
+dnl
+dnl This program is distributed in the hope that it will be useful,
+dnl but WITHOUT ANY WARRANTY; without even the implied warranty of
+dnl MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+dnl GNU General Public License for more details.
+dnl
+dnl You should have received a copy of the GNU General Public License
+dnl along with this program.  If not, see <http://www.gnu.org/licenses/>.
+dnl
 AT_BANNER([lexer])
 
 AT_SETUP([lexer ignores initial @%:@! line])
@@ -18,3 +34,72 @@ a
 2.00
 ])
 AT_CLEANUP
+
+AT_SETUP([lexer properly reports scan errors])
+AT_DATA([lexer.sps], [dnl
+x'123'
+x'1x'
+u''
+u'012345678'
+u'd800'
+u'110000'
+'foo
+'very long unterminated string that be ellipsized in its error message
+1e .x
+^
+�
+])
+AT_CHECK([pspp -O format=csv lexer.sps], [1], [dnl
+"lexer.sps:1.1-1.6: error: Syntax error at `x'123'': String of hex digits has 3 characters, which is not a multiple of 2."
+
+lexer.sps:2.1-2.5: error: Syntax error at `x'1x'': `x' is not a valid hex digit.
+
+"lexer.sps:3.1-3.3: error: Syntax error at `u''': Unicode string contains 0 bytes, which is not in the valid range of 1 to 8 bytes."
+
+"lexer.sps:4.1-4.12: error: Syntax error at `u'012345678'': Unicode string contains 9 bytes, which is not in the valid range of 1 to 8 bytes."
+
+lexer.sps:5.1-5.7: error: Syntax error at `u'd800'': U+D800 is not a valid Unicode code point.
+
+lexer.sps:6.1-6.9: error: Syntax error at `u'110000'': U+110000 is not a valid Unicode code point.
+
+lexer.sps:7.1-7.4: error: Syntax error at `'foo': Unterminated string constant.
+
+lexer.sps:8.1-8.70: error: Syntax error at `'very long unterminated string that be ellipsized in its err...': Unterminated string constant.
+
+lexer.sps:9.1-9.2: error: Syntax error at `1e': Missing exponent following `1e'.
+
+lexer.sps:9.4: error: Syntax error at `.': expecting command name.
+
+lexer.sps:10.1: error: Syntax error at `^': Bad character `^' in input.
+
+lexer.sps:11.1-11.2: error: Syntax error at `�': Bad character U+FFFD in input.
+])
+AT_CLEANUP
+
+# Bug #47602.
+AT_SETUP([lexer crash due to null byte])
+# Intentionally leave out the new-line and add a null byte:
+printf "datA dist list notable file='input.txt'/a b c.
+lis|.\0" > lexer.sps
+
+AT_CHECK([pspp -O format=csv lexer.sps], [1], [dnl
+lexer.sps:1: error: Unknown command `datA dist'.
+
+lexer.sps:2: error: LIST: LIST is allowed only after the active dataset has been defined.
+
+lexer.sps:2.6: error: LIST: Syntax error at `...': Bad character U+0000 in input.
+])
+AT_CLEANUP
+
+
+
+
+# Bug #54684
+AT_SETUP([lexer crash due to overflow])
+printf "DATA LIST/5555555555555555." > lexer.sps
+
+AT_CHECK([pspp -O format=csv lexer.sps], [1], [dnl
+lexer.sps:1.11-1.26: error: DATA LIST: Syntax error at `5555555555555555': Expected integer between 1 and 2147483647.
+])
+
+AT_CLEANUP